Finding the Third Proportional to 222,164 and 317,472.25

Step by Step Solution

1. Step 1: Write the proportion equation
   222,164 : 317,472.25 = 317,472.25 : x
2. Step 2: Convert to fraction form
   222,164/317,472.25 = 317,472.25/x
3. Step 3: Cross multiply
   222,164x = 317,472.25 × 317,472.25
4. Step 4: Simplify right side
   222,164x = 100,788,629,520.06
5. Step 5: Solve for x
   x = 100,788,629,520.06/222,164
6. Step 6: Final answer
   x = 453,667.69